Find X(t)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 15E
Related questions
Question
Find X(t)
Transcribed Image Text:Use the elimination method to find a general solution for the given linear system, where differentiation is with
respect to t.
x=7x-8y+ sint
y' =4x-y-cost
OA. y(t) = C₁et + C₂te ³t.
3t
11
13
+
cost+
34
sin t
102
OB. y(t)=C₁et + C₂te³t +
11
13
cost+
sin t
34
102
c. y(t) = C₁et cos 4t + C₂e
3t
11
3t
13
sin 4t+
cost+
sint
34
102
D. y(t)=C₁et cos 4t+ C2et sin 4t+
11
13
cost+
34
sint
102
OE. The system is degenerate.
Now find x(t) so that x(t) and the solution for y(t) found in the previous step are a general solution to the system
of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete
your choice.
OA. x(t) =
B. The system is degenerate.
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